solve by factirization method 
b x squared+abx=0
x squaredminus 2 square root of 3x+3=0
x squared minus 11 over 4 x plus 15 over 8 equals 0 x equals square root of 30 plus square root of 30 plus square root of 30 plus square root of 30 end root end root end root... infinity x squared minus fraction numerator 3 a over denominator 2 end fraction x minus a squared equals 0 b c x to the power of 2 to the power of blank end exponent plus open parentheses b squared minus a c close parentheses x minus a b equals 0

Asked by Sanmit Ratnaparkhi | 8th Oct, 2014, 11:26: PM

Expert Answer:

left parenthesis 1 right parenthesis b x squared plus a b x equals 0 rightwards double arrow b x open parentheses x plus a close parentheses equals 0 rightwards double arrow x equals 0 space o r space x plus a equals 0 rightwards double arrow x equals 0 space o r space x equals minus a left parenthesis 2 right parenthesis x squared minus 2 square root of 3 x plus 3 equals 0 rightwards double arrow x squared minus square root of 3 x minus square root of 3 x plus 3 equals 0 rightwards double arrow x open parentheses x minus square root of 3 close parentheses minus square root of 3 open parentheses x minus square root of 3 close parentheses equals 0 rightwards double arrow open parentheses x minus square root of 3 close parentheses open parentheses x minus square root of 3 close parentheses equals 0 rightwards double arrow open parentheses x minus square root of 3 close parentheses squared equals 0 rightwards double arrow x equals square root of 3 space left parenthesis t w i c e minus e q u a l space r o o t s right parenthesis left parenthesis 3 right parenthesis x squared minus fraction numerator 11 x over denominator 4 end fraction plus 15 over 8 equals 0 rightwards double arrow 8 x squared minus 22 x plus 15 equals 0 rightwards double arrow 8 x squared minus 10 x minus 12 x plus 15 equals 0 rightwards double arrow 2 x open parentheses 4 x minus 5 close parentheses minus 3 open parentheses 4 x minus 5 close parentheses equals 0 rightwards double arrow open parentheses 2 x minus 3 close parentheses open parentheses 4 x minus 5 close parentheses equals 0 rightwards double arrow 2 x minus 3 equals 0 space o r space 4 x minus 5 equals 0 rightwards double arrow x equals 3 over 2 space o r space x equals 5 over 4 left parenthesis 4 right parenthesis x equals square root of 30 plus square root of 30 plus square root of 30 plus square root of 30 plus square root of 30 plus.... infinity end root end root end root end root end root S q u a r i n g space b o t h space s i d e s space w e space h a v e comma x squared equals 30 plus square root of 30 plus square root of 30 plus square root of 30 plus square root of 30 plus square root of 30 plus.... infinity end root end root end root end root end root rightwards double arrow x squared equals 30 plus x rightwards double arrow x squared minus 30 minus x equals 0 rightwards double arrow x squared minus 6 x plus 5 x minus 30 equals 0 rightwards double arrow x open parentheses x minus 6 close parentheses plus 5 open parentheses x minus 6 close parentheses equals 0 rightwards double arrow open parentheses x plus 5 close parentheses open parentheses x minus 6 close parentheses equals 0 rightwards double arrow x equals minus 5 space o r space x equals 6 left parenthesis 5 right parenthesis x squared minus fraction numerator 3 a x over denominator 2 end fraction minus a squared equals 0 rightwards double arrow 2 x squared minus 3 a x minus 2 a squared equals 0 rightwards double arrow 2 x squared minus 4 a x plus a x minus 2 a squared equals 0 rightwards double arrow 2 x open parentheses x minus 2 a close parentheses plus a open parentheses x minus 2 a close parentheses equals 0 rightwards double arrow open parentheses 2 x plus a close parentheses open parentheses x minus 2 a close parentheses equals 0 rightwards double arrow x equals minus a over 2 comma space x equals 2 a open parentheses 6 close parentheses b c x squared plus open parentheses b squared minus a c close parentheses x minus a b equals 0 rightwards double arrow b c x squared plus b squared x minus a c x minus a b equals 0 rightwards double arrow b x open parentheses c x plus b close parentheses minus a open parentheses c x plus b close parentheses equals 0 rightwards double arrow open parentheses b x minus a close parentheses open parentheses c x plus b close parentheses equals 0 rightwards double arrow b x minus a equals 0 space o r space c x plus b equals 0 rightwards double arrow x equals a over b space o r space x equals fraction numerator minus b over denominator c end fraction

Answered by Vimala Ramamurthy | 9th Oct, 2014, 10:25: AM

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